Respuesta :
Answer:
Monthly installments = £250
Step-by-step explanation:
Given
Total cost of holiday = £2400
Ratio deposit : total of the monthly payments=3:5
Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]
Total amount of the monthly payments = 2400 -900 = 1500
She pays six equal installments.
Amount of installments = 1500/6 = 250
Monthly installments = £250
Using proportions, it is found that her monthly payments are of £250.
- The deposit is of x.
- The total of monthly payments the remainder, that is, 2400 - x.
According to the ratio, we have that:
[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]
Applying cross multiplication:
[tex]5x = 3(2400 - x)[/tex]
[tex]8x = 7200[/tex]
[tex]x = \frac{7200}{8}[/tex]
[tex]x = 900[/tex]
Hence, the monthly payments add to £1500.
She makes 6 equal monthly payments, hence:
[tex]p = \frac{1500}{6} = 250[/tex]
Her monthly payments are of £250.
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